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  2. Department of Pure Mathematics and Mathematical Statistics

    https://www.dpmms.cam.ac.uk/study/IB/LinearAlgebra/previous.html
    16 Oct 2023: Linear Algebra. Linear Algebra. Example sheets from previous years. 2022-2023. 2021-2022. 2020-2021. Lecture Notes. 2019-2020. 2018 - 2019. 2017 - 2018. 2016 - 2017. 2015 - 2016. 2014 - 2015. 2013 - 2014. 2012 - 2013. 2010 - 2011. 2009 - 2010. 2008 -
  3. Department of Pure Mathematics and Mathematical Statistics

    https://www.dpmms.cam.ac.uk/study/II/TopicsinAnalysis/previous.html
    25 Oct 2023: Example sheet 1 (updated 24 Jan, 2013).
  4. Michaelmas Term 2023 T.A. Fisher Galois Theory: Example Sheet ...

    https://www.dpmms.cam.ac.uk/study/II/Galois/2023-2024/galois_theory-23-3.pdf
    7 Nov 2023: Find a monic polynomial over Z ofdegree 4 whose Galois group is V = {id, (12)(34), (13)(24), (14)(23)}.(ii) Let f Z[X] be monic and separable of degree
  5. STATISTICAL MODELLING Part IIC / Michaelmas 2023Example Sheet 4 ...

    https://www.dpmms.cam.ac.uk/study/II/StatisticalModelling/2023-2024/ExampleSheet4.pdf
    27 Nov 2023: 3. Mother’s Father’s educationeducation 1 2 3 4. 1 81 3 9 112 14 8 9 63 43 7 43 184 21 6 24 87.
  6. Weak Systems of Set Theory related to HOL Thomas ...

    https://www.dpmms.cam.ac.uk/~tf/maltapaperredux.pdf
    4 Jul 2023: Another standard result with the same flavour was provedby Shoenfield [24] and by Novak [17]. ... 1026. [24] Shoenfield, J. R. “A relative consistency proof” Journal of Symbolic Logic 19[1954] pp 21-28.
  7. MINIMISATION OF 2-COVERINGS OF GENUS 2 JACOBIANS TOM FISHER ...

    https://www.dpmms.cam.ac.uk/~taf1000/papers/g2minimise.pdf
    12 Sep 2023: Comb. 24, 235-265 (1997), http://magma.maths.usyd.edu.au/magma/. [CF] J.W.S. Cassels and E.V. Flynn, Prolegomena to a middlebrow arithmetic of curves of genus.
  8. IB GROUPS, RINGS AND MODULES Lent Term 2023Example Sheet ...

    https://www.dpmms.cam.ac.uk/study/IB/GroupsRings%2BModules/2022-2023/Example%20sheet%203.pdf
    24 Jan 2023: 5) Determine which of the following polynomials are irreducible in Q[X]:X4 2X 2, X4 18X2 24, X3 9, X3 X2 X 1, X4 1, X4 4. ... Date: January 24, 2023. 1. 2 IB GROUPS, RINGS AND MODULES.
  9. MAT 449: Representation theory These lecture notes are in ...

    https://www.dpmms.cam.ac.uk/~jcsl5/notes.pdf
    24 Oct 2023: The following lemma is immediate from the definition. Lemma 6.24. Let V,W be G-representations. ... By Lemma 6.24, UG = HomG(V,W). By Lemma 6.25, 〈χV ,χW〉 = 〈1,χU〉.
  10. COMPUTING THE CASSELS-TATE PAIRINGON THE 2-SELMER GROUP OF A ...

    https://www.dpmms.cam.ac.uk/~taf1000/papers/genus2ctp.pdf
    14 Sep 2023: Consider the quadraticforms Qj k[u0,. ,un1] defined by. (24) ξ(u0 u1θ. ... 26) NL/k(a) = det. (TrL/k. (aθiβjf ′(θ). )i,j=0,.,n1. )and (24) is satisfied with.
  11. HX1Lycée Louis le Grand 2015-2016 Chimie Classe de Mathématiques ...

    https://www.dpmms.cam.ac.uk/~aptm3/docs/lecture-notes/Chimie-Sup.pdf
    31 Aug 2023: 23II Exemple du fer. 23III Exploitation d’un diagramme potentiel-pH. 24. ii. ... 24. CHAPITRE 9. DIAGRAMMES POTENTIEL-pH. 0 5 10 15. 0.5. 0.

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